Matematika

Pertanyaan

perbandingan panjang lebar dan tinggi balok adalah 5:3:2, jika volume nya 1920 cm3, tentukan: a. panjang,lebar,dan tinggi! b. luas permukaan balok! tolong di jawab ya pake cara

2 Jawaban

  • V = p.l.t
    1.920 = 5x × 3x × 2x
    1.920 = 30x³
    x³ = 1.920/30
    x³ = 64
    x = ∛64
    x = 4

    A. p = 5x = 5(4) = 20 cm
    l = 3x = 3(4) = 12 cm
    t = 2x = 2(4) = 8 cm

    B. Lp = 2(pl + pt + lt)
    Lp = 2(20×12 + 20×8 + 12×8)
    Lp = 2(240 + 160 + 96)
    Lp = 2(496)
    Lp = 992 cm² ✔
  • V = p.l.t 1.920 = 5x × 3x × 2x 1.920 = 30x³ x³ = 1.920/30 x³ = 64 x = ∛64 x = 4 p = 5x = 5(4) = 20 cm l = 3x = 3(4) = 12 cm t = 2x = 2(4) = 8 cm Lp = 2(pl + pt + lt) Lp = 2(20×12 + 20×8 + 12×8) Lp = 2(240 + 160 + 96) Lp = 2(496) Lp = 992 cm²

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